Please show work. I look forward to giving a thumbs up. A shirt manufacturer buy

Question

Please show work. I look forward to giving a thumbs up.

A shirt manufacturer buys cloth by the 100 yard roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears) the following data was collected from a sample provided by the supplier. RREGULARITIES1 688 10 SAMPLE 1 234 5 7 910 a. Determine the z, Sp, UCL and LCL for a c-chart with z-2. (Leave no cells blank-be certain to enter "O" wherever required. Round your answers to 2 decimal places.) Sp UCL LCL

Explanation / Answer

c-bar = Total irregularities/Total sample = (1+6+3+8+4+6+6+2+5+8)/10 = 49/10 = 4.9

Sp = sqrt(c-bar) = sqrt(4.9) = 2.21

UCL = c-bar + z*Sp = 4.9 + 2*2.21 = 9.32

LCL = c-bar - z*Sp = 4.9 - 2*2.21 = 0.48

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